Jump to a section

Physics - Oscillations

Practise 191 JEE Main previous year questions on Oscillations, compiled from papers spanning 2002 to 2026. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty JEE Main tests.

Oscillations has been asked in 23 of the 25 years of JEE Main papers analysed (2002–2026), with 191 questions in all. 26% of them were easy, 49% moderate and 25% tough. Most of its questions came from 2021, with 36 questions that year. In the last three years (2024–2026) it had 32 questions across 49 papers, about 0.7 per paper.

The chapter's 6 topics are not weighted equally: Simple Harmonic Motion (68 questions, 36%), Time Period and Frequency (42 questions, 22%), and Applications of SHM (39 questions, 20%) have been asked the most. Simple Harmonic Motion has also led over the last five years, with 29 questions. Time Period and Frequency has produced the most tough questions (13).

  1. 1The frequency of oscillation of a mass suspended by a spring is . If the length of the spring is cut to half, the same mass oscillates with 08 Apr, 2026 (E)Applications of SHM
  2. 2A particle is executing simple harmonic motion. Its amplitude is and time period is sec. The time required by it to move from to is _______ 06 Apr, 2026 (M)Simple Harmonic Motion
  3. 3A spring stretches by mm when it is loaded with a mass of g. From equilibrium position the mass is further pulled down by mm and released. T06 Apr, 2026 (E)Time Period and Frequency
  4. 4Match List-I with List-II. List-I List-II A. I. Periodic with time period but not simple harmonic motion (SHM) B. II. Periodic with time per05 Apr, 2026 (E)Simple Harmonic Motion
  5. 5The velocity of a particle executing simple harmonic motion along -axis is described as , where represents displacement. If the time period 04 Apr, 2026 (M)Simple Harmonic Motion
  6. 6A uniform disc of radius and mass is free to oscillate about the axis as shown in the figure. For small oscillations the time period is ____04 Apr, 2026 (E)Applications of SHM
  7. 7The equation of motion of a particle is given by cm. The particle will come to rest at time and it will have zero acceleration at time . The02 Apr, 2026 (E)Simple Harmonic Motion
  8. 8The displacement of a particle, executing simple harmonic motion with time period , is expressed as , where is the amplitude. The maximum va28 Jan, 2026 (M)Energy of Simple Harmonic Motion
  9. 9The time period of a simple harmonic oscillator is . Measured value of mass of the object is 10 g with an accuracy of 10 mg and time for 50 28 Jan, 2026 (E)Time Period and Frequency
  10. 10As shown in the figure, a spring is kept in a stretched position with some extension by holding the masses 1 kg and 0.2 kg with a separation28 Jan, 2026 (E)Simple Harmonic Motion
  11. 11A cylindrical block of mass and area of cross section is floating in a liquid of density and with its axis vertical. When depressed a little24 Jan, 2026 (M)Simple Harmonic Motion
  12. 12Two blocks with masses 100 g and 200 g are attached to the ends of springs and as shown in figure. The energy stored in is . The energy stor23 Jan, 2026 (M)Energy of Simple Harmonic Motion
  13. 13A simple pendulum of string length 30 cm performs 20 oscillations in 10 s. The length of the string required for the pendulum to perform 40 23 Jan, 2026 (M)Applications of SHM
  14. 14Using a simple pendulum experiment is determind by measuring its time period . Which of the following plots represent the correct relation b22 Jan, 2026 (E)Applications of SHM
  15. 15The kinetic energy of a simple harmonic oscillator is oscillating with angular frequency of . The frequency of this simple harmonic oscillat21 Jan, 2026 (E)Energy of Simple Harmonic Motion
  16. 16The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, and , are (Take the angular frequenc08 Apr, 2025 (E)Superposition of S.H.M’s and Resonance
  17. 17Two simple pendulums having lengths and with negligible string mass undergo angular displacements and , from their mean positions, respectiv04 Apr, 2025 (M)Applications of SHM
  18. 18Two blocks of masses and , are placed on a frictionless table as shown in figure. A massless spring with spring constant k is attached with 03 Apr, 2025 (M)Time Period and Frequency
  19. 19A particle is subjected two simple harmonic motions as : and where x is displacement and is time in seconds. The maximum acceleration of the02 Apr, 2025 (M)Simple Harmonic Motion
  20. 20Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Time period of a 29 Jan, 2025 (M)Applications of SHM
  21. 21Two bodies A and B of equal mass are suspended from two massless springs of spring constant and , respectively. If the bodies oscillate vert29 Jan, 2025 (E)Simple Harmonic Motion
  22. 22Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Knowing initial po28 Jan, 2025 (E)Time Period and Frequency
  23. 23A particle is executing simple harmonic motion with time period 2 s and amplitude 1 cm . If D and d are the total distance and displacement 24 Jan, 2025 (M)Simple Harmonic Motion
  24. 24A particle oscillates along the -axis according to the law, where . The kinetic energy of the particle as a function of is correctly represe24 Jan, 2025 (E)Energy of Simple Harmonic Motion
  25. 25A light hollow cube of side length 10 cm and mass 10 g , is floating in water. It is pushed down and released to execute simple harmonic osc23 Jan, 2025 (M)Applications of SHM
  26. 26Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : A simple pendulum 22 Jan, 2025 (E)Time Period and Frequency
  27. 27The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of and at a certain inst09 Apr, 2024 (M)Simple Harmonic Motion
  28. 28A particle of mass executes simple harmonic motion under force . The time period of oscillation is . The value of is _______ (Given )09 Apr, 2024 (E)Time Period and Frequency
  29. 29An object of mass executes simple harmonic motion along axis with frequency of . At the position the object has kinetic energy and potential08 Apr, 2024 (E)Simple Harmonic Motion
  30. 30A particle is doing simple harmonic motion of amplitude and time period . The maximum velocity of the particle is _______ .06 Apr, 2024 (M)Simple Harmonic Motion
  31. 31In simple harmonic motion, the total mechanical energy of given system is . If mass of oscillating particle is doubled then the new energy o04 Apr, 2024 (E)Applications of SHM
  32. 32The displacement of a particle executing SHM is given by . The time period of motion is . The velocity of the particle at is ______ .04 Apr, 2024 (E)Simple Harmonic Motion
  33. 33A mass m is suspended from a spring of negligible mass and the system oscillates with a frequency f 1 . The frequency of oscillations if a m01 Feb, 2024 (E)Time Period and Frequency
  34. 34A particle performs simple harmonic motion with amplitude A . Its speed is increased to three times at an instant when its displacement is 231 Jan, 2024 (M)Simple Harmonic Motion
  35. 35The time period of simple harmonic motion of mass M in the given figure is π α M 5 K , where the value of α is _______.31 Jan, 2024 (E)Applications of SHM
  36. 36A simple pendulum is placed at a place where its distance from the earth's surface is equal to the radius of the earth. If the length of the30 Jan, 2024 (E)Time Period and Frequency
  37. 37When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to the kinetic energy is x 8 29 Jan, 2024 (M)Energy of Simple Harmonic Motion
  38. 38A simple harmonic oscillator has an amplitude A and time period 6 π second. Assuming the oscillation starts from its mean position, the time29 Jan, 2024 (E)Simple Harmonic Motion
  39. 39A particle executes simple harmonic motion with an amplitude of 4 cm . At the mean position, velocity of the particle is 10 cm s - 1 . The d27 Jan, 2024 (M)Simple Harmonic Motion
  40. 40In a linear Simple Harmonic Motion (SHM) (A) Restoring force is directly proportional to the displacement. (B) The acceleration and displace15 Apr, 2023 (M)Simple Harmonic Motion
  41. 41Which graph represents the difference between total energy and potential energy of a particle executing SHM vs its distance from mean positi13 Apr, 2023 (M)Energy of Simple Harmonic Motion
  42. 42At a given point of time the value of displacement of a simple harmonic oscillator is given as y = A cos 30 . If amplitude is 40 cm and kine13 Apr, 2023 (M)Energy of Simple Harmonic Motion
  43. 43A particle executes SHM of amplitude A . The distance from the mean position when its kinetic energy becomes equal to its potential energy i13 Apr, 2023 (E)Energy of Simple Harmonic Motion
  44. 44A particle is executing simple harmonic motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement12 Apr, 2023 (M)Energy of Simple Harmonic Motion
  45. 45The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement ( x ) starting from mean position 11 Apr, 2023 (M)Energy of Simple Harmonic Motion
  46. 46A particle executes S.H.M. of amplitude A along x -axis. At t = 0 , the position of the particle is x = A 2 and it moves along positive x -a10 Apr, 2023 (M)Time Period and Frequency
  47. 47For a periodic motion represented by the equation y = sin t + cos t the amplitude of the motion is10 Apr, 2023 (E)Simple Harmonic Motion
  48. 48A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1 m and time period 3 .10 Apr, 2023 (E)Applications of SHM
  49. 49For particle P revolving round the centre O with radius of circular path r and regular velocity , as shown in below figure, the projection o08 Apr, 2023 (E)Simple Harmonic Motion
  50. 50A simple pendulum with length 100 cm and bob of mass 250 g is executing S.H.M of amplitude 10 cm . The maximum tension in the string is foun06 Apr, 2023 (E)Energy of Simple Harmonic Motion

Frequently Asked Questions

1.How many questions are available for Oscillations?

This chapter includes 191 questions compiled from JEE Main papers spanning 2002 to 2026.

2.Are these questions only from JEE Main, or from other exams too?

These are JEE Main questions specifically for the Oscillations chapter. Questions from other exams like NTA Abhyas (JEE Main) or JEE Advanced are organised separately under their respective exam sections.

3.Is Oscillations an important chapter for JEE Main Physics?

Oscillations has appeared in 23 of the 25 years of JEE Main papers covered here, with 191 questions across 140 papers - about one per paper it appears in.

4.What is the difficulty level of Oscillations questions in JEE Main?

Of the 191 questions analysed for this chapter, 26% are easy, 49% moderate and 25% tough. 2021 had the most, with 36 questions.

5.Which topics in Oscillations should I focus on?

These topics have carried the most weightage in Oscillations:

  • Simple Harmonic Motion - 68 questions (36%)
  • Time Period and Frequency - 42 questions (22%)
  • Applications of SHM - 39 questions (20%)
  • Time Period and Frequency has produced the most tough questions (13).
6.Is Oscillations's weightage in JEE Main going up or down?

Across all 140 papers analysed, Oscillations has averaged about 1.4 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.7 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.